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    Question

    Two cars, ‘X’ and ‘Y’, started from towns ‘M’

    and ‘N’ towards each other at the same time. When they met after 6 hours, car ‘Y’ had travelled 90 km more than car ‘X’. Find the distance travelled by car ‘X’ in 4 hours if the distance between both towns is 510 km.
    A 130 km Correct Answer Incorrect Answer
    B 135 km Correct Answer Incorrect Answer
    C 140 km Correct Answer Incorrect Answer
    D 150 km Correct Answer Incorrect Answer
    E 160 km Correct Answer Incorrect Answer

    Solution

    Let distance travelled by car ‘X’ at the time of meet = ‘x’ km
    So, distance travelled by car ‘Y’ at the time of meet = ‘x + 90’ km
    According to question:
    x + x + 90 = 510
    Or, 2x = 420
    Or, x = 210
    Distance travelled by car ‘X’ in 6 hours = 210 km
    Speed of car ‘X’ = 210 / 6 = 35 km/h
    Distance travelled by car ‘X’ in 4 hours = 35 × 4 = 140 km

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